Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity

Physics

Scientific paper

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Physics Of Black Holes, Quantum Gravity, Field Theory

Scientific paper

We explore various aspects of dynamical black holes defined by a future outer trapping horizon in n(>=5)-dimensional Einstein-Gauss-Bonnet gravity. We assume that the spacetime has symmetries corresponding to the isometries of an (n-2)-dimensional maximally symmetric space and the Gauss-Bonnet coupling constant is non-negative. Depending on the existence or absence of the general relativistic limit, solutions are classified into GR and non-GR branches, respectively. Assuming the null energy condition on matter fields, we show that a future outer trapping horizon in the GR branch possesses the same properties as that in general relativity. In contrast, that in the non-GR branch is shown to be non-spacelike with its area non-increasing into the future. On the other hand, the entropy of a future outer trapping horizon is shown to be non-decreasing in both branches along its generator.

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